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arlik [135]
3 years ago
12

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

Initial value 12, rate of change: -2

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to  

m=\frac{y2-y1}{x2-x1}  

we have

A(1,10)\ B(2,8)  

Substitute the values  

m=\frac{8-10}{2-1}

m=-2  ----> rate of change

Step 2

Find the initial value

The equation of  the line into slope-point form is equal to

y-y1=m(x-x1)

Substitute

y-10=-2(x-1)

y=-2x+2+10y=-2x+12

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

y=-2*0+12=12----> initial value

sleet_krkn [62]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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